Question

find the slope of the line represented by the equation below. y = 3 + \frac{5}{2}x

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.

Step2: Compare the given equation with slope - intercept form

The given equation is \(y=3+\frac{5}{2}x\), which can be rewritten as \(y = \frac{5}{2}x+3\). By comparing this with the slope - intercept form \(y = mx + b\), we can see that \(m=\frac{5}{2}\).

Answer:

\(\frac{5}{2}\)